{
  "id": "1509.06165",
  "version": "v1",
  "published": "2015-09-21T09:54:05.000Z",
  "updated": "2015-09-21T09:54:05.000Z",
  "title": "New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs",
  "authors": [
    "Mark Craddock",
    "Semyon Yakubovich"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider some new classes of integral equations that arise from Lie symmetry analysis. Specifically, we consider the task of obtaining solutions of a Cauchy problem for some classes of second order hyperbolic partial differential equations. Our analysis leads to new integral equations of non-convolution type, which can be solved by classical methods. We derive solutions of these integral equations, which in turn lead to solutions of the associated Cauchy problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T09:54:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L15",
      "44A15",
      "45A05",
      "33C10"
    ],
    "keywords": [
      "lie symmetry analysis",
      "non-convolution integral equations arising",
      "hyperbolic pdes",
      "order hyperbolic partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906165C"
    }
  }
}